On the Nature of Algorithms

2019 ◽  
pp. 65-80
Author(s):  
Giuseppe Primiero
Keyword(s):  
Mathematical Research ◽  
Conceptual Definition

This chapter generalizes the notion of mechanical computation in the larger context of the notion of algorithm. While general recursion and its different interpretations are a product of mathematical research of the nineteenth and early twentieth centuries, much older is theideathatknowledge shouldbebasedonfiniteanddefiniteprocedures.Despite these ancient origins, the nature of algorithms and how their formal and conceptual definition should be given are still debated today.

scholarly journals A Conceptual Definition of Vocational Rehabilitation Based on the ICF: Building a Shared Global Model

2011 ◽  
Vol 21 (2) ◽  
pp. 126-133 ◽  
Author(s):  
Reuben Escorpizo ◽  
Michiel F. Reneman ◽  
Jan Ekholm ◽  
Julie Fritz ◽  
Terry Krupa ◽  
...  
Keyword(s):  
Vocational Rehabilitation ◽  
Global Model ◽  
Conceptual Definition ◽  
Definition Of

THE OBJECT OF ASTRONOMICAL AND MATHEMATICAL RESEARCH

Science ◽  
1915 ◽  
Vol 41 (1047) ◽  
pp. 109-117
Author(s):  
F. Schlesinger
Keyword(s):  
Mathematical Research

Egg-Forms and Measure-Bodies: Different Mathematical Practices in the Early History of the Modern Theory of Convexity

2009 ◽  
Vol 22 (1) ◽  
pp. 85-113 ◽  
Author(s):  
Tinne Hoff Kjeldsen
Keyword(s):  
Convex Bodies ◽  
Mathematical Work ◽  
Late Nineteenth Century ◽  
Modern Theory ◽  
Methodological Framework ◽  
Mathematical Research ◽  
Mathematical Practices ◽  
History Of ◽  
Research Questions ◽  
Epistemic Objects

ArgumentTwo simultaneous episodes in late nineteenth-century mathematical research, one by Karl Hermann Brunn (1862–1939) and another by Hermann Minkowski (1864–1909), have been described as the origin of the theory of convex bodies. This article aims to understand and explain (1) how and why the concept of such bodies emerged in these two trajectories of mathematical research; and (2) why Minkowski's – and not Brunn's – strand of thought led to the development of a theory of convexity. Concrete pieces of Brunn's and Minkowski's mathematical work in the two episodes will, from the perspective of the above questions, be presented and analyzed with the use of the methodological framework of epistemic objects, techniques, and configurations as adapted from Hans-Jörg Rheinberger's work on empirical sciences to the historiography of mathematics by Moritz Epple. Based on detailed descriptions and a comparison of the objects and techniques that Brunn and Minkowski studied and used in these pieces it will be concluded that Brunn and Minkowski worked in different epistemic configurations, and it will be argued that this had a significant influence on the mathematics they developed for those bodies, which can provide answers to the two research questions listed above.

Ambiguous terminology in animal personality research: a self-report questionnaire and a systematic review

2021 ◽  
Author(s):  
Alfredo Sánchez-Tójar ◽  
Maria Moiron ◽  
Petri Toivo Niemelä
Keyword(s):  
Literature Review ◽  
Animal Personality ◽  
Self Report ◽  
Behavioural Ecology ◽  
Biological Organization ◽  
Personality Research ◽  
Conceptual Definition ◽  
Multiple Levels ◽  
Definition Of ◽  
Key Questions

Whether animal personality studies provide insights of broader evolutionary and ecological relevance to behavioural ecology is frequently questioned. One source of controversy is the vast, but often vague conceptual terminology used. From a statistical perspective, animal personality is defined as repeatable among-individual variance in behaviour; however, numerous conceptual definitions of animal personality exist. Here, we performed a 1) self-report questionnaire and 2) systematic literature review to quantify how researchers interpret conceptual and statistical definitions commonly used in animal personality research. We also investigated whether results from the questionnaire agree with those of the literature review. Among the 430 self-reported researchers that participated in our questionnaire, we observed discrepancies in key questions such as the conceptual definition of animal personality or the interpretation of repeatability. Our literature review generally confirmed the global patterns revealed by the questionnaire. Overall, we identified common disagreements in animal personality research and discussed potential solutions. We advocate for the usage of statistically-oriented terminology because conceptual definitions can seemingly be interpreted at multiple levels of biological organization. We expect that adopting such statistically-oriented terminology will, at least partly, avoid the confusion generated by the label “animal personality”, and ultimately help to clarify and move the field forward.

INVESTIGAÇÃO MATEMÁTICA: UMA ALTERNATIVA METODOLÓGICA PARA O ENSINO DA GEOMETRIA COM ALUNOS DO 5º ANO DO ENSINO FUNDAMENTAL / MATHEMATICAL RESEARCH: A METHODOLOGICAL ALTERNATIVE FOR TEACHING GEOMETRY WITH STUDENTS OF THE 5th YEAR OF FUNDAMENTAL EDUCATION

2021 ◽  
Vol 27 (2) ◽  
pp. 194
Author(s):  
Joseane Marta Vian ◽  
Marli Teresinha Quartieri
Keyword(s):  
Mathematical Research ◽  
Teaching Geometry ◽  
Fundamental Education

Neste trabalho, teve-se por objetivo, analisar estratégias que os alunos de uma turma de 5º ano do Ensino Fundamental, utilizam ao realizar tarefas investigativas, envolvendo o cálculo de áreas e perímetros de figuras planas. Ademais procurou-se, investigar as conjecturas elaboradas por estes alunos para comparar figuras de mesma área, mas com valores de perímetros diferentes e vice-versa. Foram utilizadas as etapas propostas por Ponte, Brocardo e Oliveira (2006), para desenvolver duas tarefas envolvendo a Investigação Matemática.  Como instrumentos de coletas de dados foram utilizados diários de campo, resolução de tarefas, observações, questionários, gravação de voz e filmagens. Para a análise dos dados, optou-se pela análise descritiva, que consiste na descrição de características de determinados fenômenos. Para a resolução das tarefas investigativas propostas os alunos usaram o material concreto e o desenho. Percebeu-se que o trabalho em grupo foi produtivo, para elaboração das conjecturas e compreensão dos conceitos geométricos.

Conceptual definition of one OTEC floating plant

2014 ◽  
pp. 1223-1230
Author(s):  
L Núñez ◽  
A Yraola ◽  
L Muñoz ◽  
L de las Heras
Keyword(s):  
Conceptual Definition ◽  
Definition Of ◽  
Floating Plant
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